2541764060 has 48 divisors (see below), whose sum is σ = 5860118880. Its totient is φ = 918378240.

The previous prime is 2541764051. The next prime is 2541764077. The reversal of 2541764060 is 604671452.

2541764060 = 243² + 244² + ... + 1969².

2541764060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2541764060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2255 + ... + 71334.

It is an arithmetic number, because the mean of its divisors is an integer number (122085810).

Almost surely, 2^2541764060 is an apocalyptic number.

2541764060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541764060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930059440).

2541764060 is an abundant number, since it is smaller than the sum of its proper divisors (3318354820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2541764060 is a wasteful number, since it uses less digits than its factorization.

2541764060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73766 (or 73764 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2541764060 is about 50415.9107822124. The cubic root of 2541764060 is about 1364.7247827194.

The spelling of 2541764060 in words is "two billion, five hundred forty-one million, seven hundred sixty-four thousand, sixty".